Vol.26, No.2, 2026, pp. 205–212
https://doi.org/10.69644/ivk-2026-02-0205  

LAYERWISE FINITE ELEMENT FOR FREE VIBRATION ANALYSIS OF GEOMETRICALLY IMPERFECT FGM PLATES

Marina Ćetković

University of Belgrade, Faculty of Civil Engineering, Belgrade, SERBIA

M. Ćetković https://orcid.org/0000-0001-8595-0424

*email: cetkovicm@grf.bg.ac.rs

 

Abstract

The paper presents for the first time the finite element solution for free vibration response of a geometrically imperfect FGM plate based on layerwise theory of Reddy. The numerical solution is implemented in the original MATLAB® programme. The programme is used to analyse various parameters of importance for free vibration response. It is shown that free vibration response is sensitive to geometric parameters (a/h and b/a ratios), plate material graduation parameter (n), imperfection form and amplitude (), as well as boundary conditions. The presented results show close agreement with reference results from the literature and may serve for the future study of FGM based structures.

Keywords: • free vibration • FGM plate • geometrical imperfections • finite element

full article (889 kB)